Math, asked by richapednekar08, 2 months ago

factorize

a^12x^5 - a^4x^12

(step by step)​

Answers

Answered by rekhadas63289
0

Step-by-step explanation:

Using a

2

−b

2

=(a+b)(a−b) at each step

Given:a

12

x

4

−a

4

x

12

=a

4

x

4

(a

8

−x

8

), factor out common factor a

4

x

4

=a

4

x

4

[(a

4

)

2

−(x

4

)

2

]

=a

4

x

4

(a

4

+x

4

)(a

4

−x

4

)

=a

4

x

4

(a

4

+x

4

)[(a

2

)

2

−(x

2

)

2

]

=x

4

a

4

(a

4

+x

4

)(a

2

+x

2

)(a

2

−x

2

)

=x

4

a

4

(a

4

+x

4

)(a

2

+x

2

)(a+x)(a−x)

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